Information on Result #857149
Linear OOA(1686, 2072, F16, 2, 25) (dual of [(2072, 2), 4058, 26]-NRT-code), using OOA 2-folding based on linear OA(1686, 4144, F16, 25) (dual of [4144, 4058, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(1686, 4145, F16, 25) (dual of [4145, 4059, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(12) [i] based on
- linear OA(1670, 4096, F16, 25) (dual of [4096, 4026, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(1637, 4096, F16, 13) (dual of [4096, 4059, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(1616, 49, F16, 11) (dual of [49, 33, 12]-code), using
- extended algebraic-geometric code AGe(F,37P) [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- construction X applied to Ce(24) ⊂ Ce(12) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.